What is (x^2-81)/(x^2-2x-63) ?

The solution to (x^2-81)/(x^2-2x-63) is (x+9)/(x+7)

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simplify (x^2-81)/(x^2-2x-63)

simplify

\frac{x ^{2} - 81}{x ^{2} - 2 x - 63}

\frac{x + 9}{x + 7}

Solution steps

\frac{x ^{2} - 81}{x ^{2} - 2 x - 63}

Factor

x^{2} - 81 : (x + 9) (x - 9)

= \frac{( x + 9 ) ( x - 9 )}{x ^{2} - 2 x - 63}

Factor

x^{2} - 2 x - 63 : (x + 7) (x - 9)

= \frac{( x + 9 ) ( x - 9 )}{( x + 7 ) ( x - 9 )}

Cancel the common factor:

x - 9

= \frac{x + 9}{x + 7}

- sin^{2} (t) + cos^{2} (t)

(x - a)^{2} - b^{2}

3 x - 2 [4 - 2 y - (x + y) - 8]

(3 k^{2} - 7 k - 3) (6 k^{2} - 6 k - 4)

What is (x^2-81)/(x^2-2x-63) ?
The solution to (x^2-81)/(x^2-2x-63) is (x+9)/(x+7)